# Latest problems - page 20

- Distance of lines

Find the distance of lines AE, CG in cuboid ABCDEFGH, if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm - Trevor

Trevor wishes to tile the floor of his bathroom. The bathroom is rectangular and is 4.2m long and 3.3m wide. The tiles are 30cm by 30cm. Calculate the cost to tile the floor if each tile costs 72 cents. - Diofant equation

250x + 120y = 5640 - Deviation of the lines

Find the deviation of the lines AG, BH in the ABCDEFGH box-cuboid, if given | AB | = 3cm, | AD | = 2cm, | AE | = 4cm - After 2

After we planted flowers in 2/5 of our garden, 24m remained unplanted. How many meters is the garden in total? If the total area of the garden is 1, the proportion of the remaining area is? - Pyramid cut

We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm^{2}. Find the area of the o - Peroxide

How many ml 30% of peroxide (H2O2) should be poured into 100ml H2O to give a 20% solution? - Equation 29

Solve next equation: 2 ( 2x + 3 ) = 8 ( 1 - x) -5 ( x -2 ) - Inscribed rectangle

What is the perimeter of a rectangle that is inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm - Perimeter of base

The circumference of the base of the rotating cylinder is same as its height. What is the diameter and height of this cylinder with volume 1 liter? - Sewing

The lady cut off one half of cloth. She needed three-quarters of this piece to sew a skirt. What part of the original piece of cloth still remained? - Expression

Solve for a specified variable: P=a+4b+3c, for a - Comparing and sorting

Arrange in descending order this fractions: 2/7, 7/10 & 1/2 - Maria

Maria has decided to plant grapes in the garden behind her house. His neighbor Ben has grown grapes successfully for a long time and has given Maria advice on how to plant vines. Ben told her to plant them 3 meters apart in rows that are also 3 meters apar - Expression 8

Evaluate this expressions: a) 5[3 + 4(2.8 - 3)] b) 5×(8-4)÷4-2 - GP members

The geometric sequence has 10 members. The last two members are 2 and -1. Which member is -1/16? - Simple equation 5

Solve equation with fractions: X × 3/8 = 1/2 - Cuboid walls

If the areas of three adjacent faces of a cuboid are 8 cm², 18 cm² and 25 cm². Find the volume of the cuboid. - Decagon

Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m - Nonagon

Calculate the area and perimeter of a regular nonagon if its radius of inscribed circle is r = 10cm

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